Free Printable 2025 8th Grade Math Review- Lipscomb

1.

Write the fraction that is equivalent to 0.777...?

a)

7/9

b)

77/100

c)

7/11

d)

1/7

2.

Write an irrational number?

a)

0.2555...

b)

1/3

c)

√0.64

d)

√18

3.

The value of √35 is between what two numbers?

a)

5 and 6

b)

17 and 18

c)

20 and 21

d)

34 and 36

4.

Write any rational number?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

5.

Which list shows the following numbers in order from least to greatest:
0.9, 77%, $\frac{4}{5}$ , 100%

a)

100%, 0.9, $\frac{4}{5}$ , 77%

b)

$\frac{4}{5}$ , 0.9, 77%, 100%

c)

77%, $\frac{4}{5}$ , 0.9, 100%

d)

0.9, $\frac{4}{5}$ , 100%, 77%

6.

Simplify: (x²)⁰

a)

x²

b)

x

c)

1

d)

x^-2

7.

Simplify.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

8.

Simplify

a)

x¹²

b)

x¹⁷

c)

x⁶

d)

x²³

9.

Write in standard form:
8 x 10⁴

a)

8,000

b)

80,000

c)

.00008

10.

Write in scientific notation:
0.0000378

a)

3.78 x 10^-5

b)

3.78 x 10^-6

c)

0.378 x 10^-5

11.

Convert to scientific notation:
520,000,000

a)

52 x 10⁷

b)

5.2 x 10⁷

c)

5.2 x 10⁸

d)

0.52 x 10⁹

12.

Simplify
(x²)³

a)

x³

b)

x⁵

c)

x⁶

d)

x⁴

13.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

14.

Simplify: $3n^5\cdot5n^{10}$

a)

$15n^5$

b)

$8n^{15}$

c)

$15n^{50}$

d)

$15n^{15}$

15.

Simplify: $\left(-3x^6\right)^2$

a)

$9x^{12}$

b)

$-9x^{12}$

c)

$-6x^8$

d)

$6x^{12}$

16.

Solve for x, 2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

17.

Solve for a, 22 + 2a = 37 + 6 + a

a)

21

b)

-21

c)

5

d)

6

18.

Solve for x,

$5x+4=5x+4$

a)

$x=\frac{4}{5}$

b)

no solution

c)

infinite solutions

d)

x = 0

19.

Solve for x,

$x+9\ =\ x-9$

a)

x = 9

b)

no solution

c)

infinite solutions

d)

x = 0

20.

Solve for v,

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

21.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

22.

Does the graph show a proportional relationship?

a)

Yes, it's linear and goes through the origin

b)

Yes, it's linear

c)

Yes, it goes through the origin

d)

Yes, the line is pretty

23.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

24.

Identify the slope from the equations y = -x -6

a)

m = 6

b)

m = -1

c)

m = -x

25.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

26.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

27.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

28.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

29.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

30.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

31.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

32.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

33.

What is the solution?
(Hint: Both lines are graphed over each other)

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

34.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

35.

Solve the following system of Equations. What is the solution?

a)

(1, 2)

b)

(-1, 2)

c)

(2, 1)

d)

(2, -1)

36.

How many solutions does the graph have?

a)

One solution

b)

No solution

c)

Three solutions

d)

Infinitely Many Solutions

37.

Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables. For how many guests will the cost of Caterer A be the same as the cost of Caterer B? What is that cost?

a)

10 guests, $250

b)

5 guests, $175

c)

10 guests, $200

d)

5 guests, $125

38.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

39.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

40.

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

a)

5

b)

7

c)

10

d)

12

41.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

42.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

43.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

44.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

45.

What is the value of x?

a)

8

b)

22.5

c)

11.25

d)

60

46.

What is the relationship between

Angle A and W?

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Same-Side Interior

47.

What is the relationship between Angle D and Angle W?

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Same-Side Interior

48.

What is the relationship of the Angles

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side Interior

49.

Find x.

a)

130

b)

50

50.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

51.

If the dotted figure is the image, the original figure was reflected over the ...

a)

x-axis

b)

y-axis

52.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

53.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

54.

Rotate the point (7,8) around the origin 90 counter clockwise degrees. State the image of the point.

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

55.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

56.

If ∆PIG ≅ ∆COW, WO≅?

a)

GI

b)

PI

c)

PG

57.

The pair of figures is similar. Find the missing side.

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

58.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

59.

True or False: All angles in similar figures are congruent.

a)

True

b)

False

60.

A cylinder has a height of 3 inches and a radius of 3 inches. What is the volume? Use the π key.

a)

28.27 in³

b)

84.82 in³

c)

254.47 in³

d)

9.42 in³

61.

Find the volume.

a)

V= 392.5 ft³

b)

V=104.7 ft³

c)

V= 65.4 ft³

d)

V= 523.6 ft³

62.

Find the volume of the figure. Round to the nearest tenth.

a)

150.8 cm³

b)

75.4 cm³

c)

452.2 cm³

d)

151 cm³

63.

Find the volume.

a)

$37.68$

b)

$141.3$

c)

$178.98$

d)

$565.2$

64.

Find the HEIGHT of a cylinder if the volume is $502.4$ and the radius is 4.

a)

6.32

b)

10

c)

16

d)

40

65.

What is the type of association?

a)

Negative

b)

no association

c)

positive

66.

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?

a)

A. 50 min

b)

B. 80 min

c)

C. 45 min

d)

D. 60 min

67.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

68.

You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?

a)

As x increases, y decreases

b)

As x increases, y increases

c)

As x decreases, y decreases

69.

Is there an outlier in the data set? If so, explain why.

a)

No, there are no points that stray from the overall pattern.

b)

Yes, there are multiple outliers.

c)

No, there is not an outlier.

d)

Yes, it has an outlier because it varies greatly from the overall pattern.

70.

Which scatterplot does NOT suggest a linear relationship between x and y?

a)

b)

c)

d)

71.

What percentage of girls have blonde hair?

a)

30%

b)

32%

c)

29%

d)

40%

72.

What percentage of the boys had red hair?

a)

5%

b)

10%

c)

12%

d)

4%

73.

What percentage of SUV's are driven by women?

a)

56.25%

b)

75%

c)

83.25%

d)

86.5%

74.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

75.

Solve:
(2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

2025 8th Grade Math Review- Lipscomb

Total questions: 75

Worksheet time: 19hrs 45mins

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